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Title: | On free vector balleans |
Authors: | Protasov, I. Protasova, K. |
Keywords: | coarse structure ballean vector ballean free vector ballean |
Issue Date: | 2019 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | Математичні науки; |
Abstract: | A vector balleans is a vector space over R en- dowed with a coarse structure in such a way that the vector opera- tions are coarse mappings. We prove that, for every ballean (X, E), there exists the unique free vector ballean V(X, E) and describe the coarse structure of V(X, E). It is shown that normality of V(X, E) is equivalent to metrizability of (X, E). |
Description: | Protasov I.On free vector balleans / I.Protasov , K.Protasova // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 1. - Рp.70-74 |
URI: | http://hdl.handle.net/123456789/4417 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (27). - 2019 |
Files in This Item:
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1351-3978-1-PB.pdf | 294.83 kB | Adobe PDF | View/Open |
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